TSTP Solution File: ITP112^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP112^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hkwu7b1WUk true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:22:15 EDT 2023
% Result : Theorem 1.04s 0.96s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 34 ( 14 unt; 14 typ; 0 def)
% Number of atoms : 27 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 189 ( 11 ~; 3 |; 0 &; 171 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-3 aty)
% ( 1 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 36 ( 27 ^; 9 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(filter2049122004_ereal_type,type,
filter2049122004_ereal: $tType ).
thf(extended_ereal_type,type,
extended_ereal: $tType ).
thf(filter_nat_type,type,
filter_nat: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(at_top_nat_type,type,
at_top_nat: filter_nat ).
thf(comp_a1112243075al_nat_type,type,
comp_a1112243075al_nat: ( a > extended_ereal ) > ( nat > a ) > nat > extended_ereal ).
thf(x_type,type,
x: nat > a ).
thf(a2_type,type,
a2: extended_ereal ).
thf(uminus1208298309_ereal_type,type,
uminus1208298309_ereal: extended_ereal > extended_ereal ).
thf(topolo2140997059_ereal_type,type,
topolo2140997059_ereal: extended_ereal > filter2049122004_ereal ).
thf(f_type,type,
f: a > extended_ereal ).
thf(filter1531173832_ereal_type,type,
filter1531173832_ereal: ( nat > extended_ereal ) > filter2049122004_ereal > filter_nat > $o ).
thf('#sk29_type',type,
'#sk29': nat ).
thf(fact_2__092_060open_062_092_060And_062F_O_A_I_If_A_092_060circ_062_Ax_J_A_092_060longlongrightarrow_062_AA_J_AF_A_092_060Longrightarrow_062_A_I_I_092_060lambda_062xa_O_A_N_A_If_A_092_060circ_062_Ax_J_Axa_J_A_092_060longlongrightarrow_062_A_N_AA_J_AF_092_060close_062,axiom,
! [F: filter_nat] :
( ( filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ F )
=> ( filter1531173832_ereal
@ ^ [X: nat] : ( uminus1208298309_ereal @ ( comp_a1112243075al_nat @ f @ x @ X ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ F ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: filter_nat] :
( ( filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ Y0 )
=> ( filter1531173832_ereal
@ ^ [Y1: nat] : ( uminus1208298309_ereal @ ( comp_a1112243075al_nat @ f @ x @ Y1 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060And_062F_O_A_I_If_A_092_060circ_062_Ax_J_A_092_060longlongrightarrow_062_AA_J_AF_A_092_060Longrightarrow_062_A_I_I_092_060lambda_062xa_O_A_N_A_If_A_092_060circ_062_Ax_J_Axa_J_A_092_060longlongrightarrow_062_A_N_AA_J_AF_092_060close_062]) ).
thf(zip_derived_cl363,plain,
! [X2: filter_nat] :
( ( filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ X2 )
=> ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( comp_a1112243075al_nat @ f @ x @ Y0 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl364,plain,
! [X2: filter_nat] :
( ~ ( filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ X2 )
| ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( comp_a1112243075al_nat @ f @ x @ Y0 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl363]) ).
thf(conj_0,conjecture,
( filter1531173832_ereal
@ ^ [I2: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ I2 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( filter1531173832_ereal
@ ^ [I2: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ I2 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl355,plain,
~ ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ Y0 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl368,plain,
( ( ( ^ [Y0: nat] :
( uminus1208298309_ereal
@ ( comp_a1112243075al_nat
@ ^ [Y1: a] : ( f @ Y1 )
@ ^ [Y1: nat] : ( x @ Y1 )
@ Y0 ) ) )
!= ( ^ [Y0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ Y0 ) ) ) ) )
| ~ ( filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ at_top_nat ) ),
inference(ext_sup,[status(thm)],[zip_derived_cl364,zip_derived_cl355]) ).
thf(zip_derived_cl372,plain,
( ( ( ^ [Y0: nat] : ( uminus1208298309_ereal @ ( comp_a1112243075al_nat @ f @ x @ Y0 ) ) )
!= ( ^ [Y0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ Y0 ) ) ) ) )
| ~ ( filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ at_top_nat ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl368]) ).
thf(fact_1_x__def_I2_J,axiom,
filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ at_top_nat ).
thf(zip_derived_cl1,plain,
filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ at_top_nat,
inference(cnf,[status(esa)],[fact_1_x__def_I2_J]) ).
thf(zip_derived_cl373,plain,
( ( ^ [Y0: nat] : ( uminus1208298309_ereal @ ( comp_a1112243075al_nat @ f @ x @ Y0 ) ) )
!= ( ^ [Y0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl1]) ).
thf(zip_derived_cl393,plain,
( ( uminus1208298309_ereal
@ ( comp_a1112243075al_nat
@ ^ [Y0: a] : ( f @ Y0 )
@ ^ [Y0: nat] : ( x @ Y0 )
@ '#sk29' ) )
!= ( uminus1208298309_ereal @ ( f @ ( x @ '#sk29' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl373]) ).
thf(zip_derived_cl394,plain,
( ( uminus1208298309_ereal @ ( comp_a1112243075al_nat @ f @ x @ '#sk29' ) )
!= ( uminus1208298309_ereal @ ( f @ ( x @ '#sk29' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl393]) ).
thf(fact_36_comp__apply,axiom,
( comp_a1112243075al_nat
= ( ^ [F3: a > extended_ereal,G: nat > a,X: nat] : ( F3 @ ( G @ X ) ) ) ) ).
thf(zip_derived_cl36,plain,
( comp_a1112243075al_nat
= ( ^ [Y0: a > extended_ereal,Y1: nat > a,Y2: nat] : ( Y0 @ ( Y1 @ Y2 ) ) ) ),
inference(cnf,[status(esa)],[fact_36_comp__apply]) ).
thf(zip_derived_cl382,plain,
! [X1: a > extended_ereal,X2: nat > a,X3: nat] :
( ( comp_a1112243075al_nat @ X1 @ X2 @ X3 )
= ( ^ [Y0: a > extended_ereal,Y1: nat > a,Y2: nat] : ( Y0 @ ( Y1 @ Y2 ) )
@ X1
@ X2
@ X3 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl385,plain,
! [X1: a > extended_ereal,X2: nat > a,X3: nat] :
( ( comp_a1112243075al_nat @ X1 @ X2 @ X3 )
= ( X1 @ ( X2 @ X3 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl382]) ).
thf(zip_derived_cl531,plain,
( ( uminus1208298309_ereal @ ( f @ ( x @ '#sk29' ) ) )
!= ( uminus1208298309_ereal @ ( f @ ( x @ '#sk29' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl385]) ).
thf(zip_derived_cl532,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl531]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP112^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hkwu7b1WUk true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 11:11:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.71 % Total configuration time : 828
% 0.22/0.71 % Estimated wc time : 1656
% 0.22/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.65/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.65/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.65/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.65/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.65/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.03/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.03/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.03/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.03/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.04/0.96 % Solved by lams/35_full_unif4.sh.
% 1.04/0.96 % done 57 iterations in 0.159s
% 1.04/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.04/0.96 % SZS output start Refutation
% See solution above
% 1.04/0.96
% 1.04/0.96
% 1.04/0.96 % Terminating...
% 1.20/1.02 % Runner terminated.
% 1.20/1.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------